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Finding the Third Proportional to 1,256.13 and 1,651.96

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Solution

The third proportional to 1,256.13 and 1,651.96 is: 2,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.13 : 1,651.96 = 1,651.96 : x
  2. Step 2: Convert to fraction form
    1,256.13/1,651.96 = 1,651.96/x
  3. Step 3: Cross multiply
    1,256.13x = 1,651.96 × 1,651.96
  4. Step 4: Simplify right side
    1,256.13x = 2,728,962.03
  5. Step 5: Solve for x
    x = 2,728,962.03/1,256.13
  6. Step 6: Final answer
    x = 2,172.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.